Defination of - Irrational no. , Decimal Expansion , Terminating , Non - Terminating , Non - Terminating but recurring , Non terminating but non recurring . Plzz only Expert Answer this . Don't Spam .
Answers
→Irrational no-if it can not be written in the form of p/q, where p and q are integers and q is not equal to 0.
→Decimal expansion-it is of real no. and see if we can use the expansions to distinguish between rational and irrational.
→Terminating-no. which are form in p/q for example:4/5=0.8
→Non Terminating but repeating -
no.which are in the form of p/q but these no. are repeated.for example:10/3=3.333.........
Answer:
here is ur ans......
The collection of rational numbers and irrational numbers are known as real numbers It is denoted by R .
Decimal Expansion of Real Numbers:
(i) The decimal expansion of a rational number is either terminating or non- terminating. More over , a number whose decimal expansion is terminating or non - terminating recurring is rational .
(ii)The decimal expansion of an irrational number is non-terminating, non-recurring. More over , a number whose decimal expansion is non - terminating non-recurring is irrational .
Operations on Real Numbers:
Rational numbers satisfy the commutative , associative and distributive property for addition and multiplication . Also rational number are 'closed' w.r.t. addition , subtraction, multiplication and division. In case of irrational numbers, commutative , associative and distributive property holds good . But the sum, difference, quotient and product of two rational numbers may not be always irrational........
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